# Download Strength of Materials, Part 1: Elementary Theory and by S. Timoshenko PDF

By S. Timoshenko

Energy of fabrics, third version. half 1: hassle-free conception and difficulties [Hardcover] [Jan 01, 1955] S. Timoshenko

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Extra info for Strength of Materials, Part 1: Elementary Theory and Problems

Example text

The shearing stresses acting on the other two sides of the eleThe * The portion of the bar on which the stresses act is indicated external normal nl is directed outward from that portion. J The minus sign is taken since point D1 is on the side of negative by shading. ordinates. ANALYSIS OF STRESS AND STRAIN 43 ment produce a couple in the counter-clockwise direction which, according to the rule defined in Fig. 34d, is negative. The circle in Fig. r circle, is used to determine the stress components g12 and r for a cross section pq whose normal makes any angle cp with the x axis, Fig.

7 = 1,000 lb per sq in.

Adding the effects of the two component loads, the forces in the legs for any position of P P the load P may be found. 6. A rectangular frame with diagonals is sub1 mitted to the action of compressive forces P Determine the forces in the bars if h (Fig. 23). they are all of the same material, the cross-seca tional area of the verticals is A, and that of the 1 remaining bars A,. P P Solution. Let X be the compressive force 0 Ei in each vertical, Y the compressive force in each FIG. 3. diagonal and 2 the tensile force in each horizontal bar.